fill in each blank so that the resulting statement is true. by restricting the domain of y = sin x to…

fill in each blank so that the resulting statement is true. by restricting the domain of y = sin x to ______, the restricted sine function has an inverse function. the inverse sine function is denoted by y = ______. by restricting the domain of y = sin x to the restricted sine function has an inverse function. the inverse sine function is denoted by y =

fill in each blank so that the resulting statement is true. by restricting the domain of y = sin x to ______, the restricted sine function has an inverse function. the inverse sine function is denoted by y = ______. by restricting the domain of y = sin x to the restricted sine function has an inverse function. the inverse sine function is denoted by y =

Answer

Brief Explanations:

The sine function (y = \sin x) is one - to - one (and thus has an inverse) when its domain is restricted to (-\frac{\pi}{2}\leq x\leq\frac{\pi}{2}). The inverse sine function is denoted as (y=\sin^{-1}x) or (y = \arcsin x).

Answer:

First blank: (-\frac{\pi}{2}\leq x\leq\frac{\pi}{2}) Second blank: (\sin^{-1}x) (or (\arcsin x))